oeiswhack: enter a short, meaningful, sequence of integers into oeis.org, returning no results.
I think this is probably the best oeiswhack I'm ever going to get
Here's what it means:
I have a process that begins by picking a number N, and totting up a total T that begins at 0.
Repeatedly do this:
* add N to T
* if N divides T, add 1 to N, otherwise subtract 1
* if N is 1, stop
I searched for N where the process stops
@christianp I've only given this two minutes thought as I'm currently a bit busy, but for those numbers where you claim it does not go to 1, do you have a proof? Are such proofs quite general?
@christianp ... and there are only finitely many possibilities ... fair enough. Seems easy enough to compute lots of values and sufficiently well-defined. Good luck with the bureaucracy of the OEIS ... be prepared to be patient.
@ColinTheMathmo the behaviour depends on (N, T mod N). So if I get to such a pair I've seen before, it must loop.